Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature

Chen Xiangjun; Liu Lianshou

Chinese Physics C> 1997, Vol. 21> Issue(5) : 425-432

Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature

Chen Xiangjun ^, ,
Liu Lianshou

Department of Physics, Harbin Institute of Technology, Harbin 1500012 Institude of Particle Physics, Huazhong Nornal University,Wuhan 430070

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Abstract：
The infrared divergences of three-loop vacuum graphs of massless scalar and gluonfields and their regularization are discussed. The expression for analytical continuation is given. How to seperate the infrared and collinear divergences from overlap ones is also discussed.

References

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李家荣，夸克物质理论导论，湖南教育出版社，1989.[2]J.Kapusta,Finite Temperature Field Theory,Cambridge University Press,1989.[3]陈相君、刘连寿，高能物理与核物理，19（1995）907.[4]Y.Fujimoto,M.Loewe,J.C.Rojas,Dimensional Regularizion at Fenete Temperature,preprint of Pontifieia Universidad Catolica de Chile（1993）.[5]R.Baier,B.Pire,D.Schiff,phys.Rev.,D38（1989）2814.[6]J.Cleymans,I.Dadic,Z.Phys.,C42（1989）133.[7]I.S.Gradshteyn,I.M.Ryxhik,Table of Integrals,Series and Priducts,（Academic Press,1980）.[8]郭敦仁，数学物理方法，人民教育出版社，1978.[9]A.J.Neimi,G,W.Semenoff,Nucl.Phys.,B236（1984）181.

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Chen Xiangjun and Liu Lianshou. Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature[J]. Chinese Physics C, 1997, 21(5): 425-432.

Chen Xiangjun and Liu Lianshou. Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature[J]. Chinese Physics C, 1997, 21(5): 425-432. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature

Chen Xiangjun ^,
Liu Lianshou

Corresponding author: Chen Xiangjun,

Department of Physics, Harbin Institute of Technology, Harbin 1500012 Institude of Particle Physics, Huazhong Nornal University,Wuhan 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-05-05

Abstract: The infrared divergences of three-loop vacuum graphs of massless scalar and gluonfields and their regularization are discussed. The expression for analytical continuation is given. How to seperate the infrared and collinear divergences from overlap ones is also discussed.